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20140310151447.0 |
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120420s2012 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781461431916 |
|
978-1-4614-3191-6 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA370-380 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
515.353 |
| Edition number |
23 |
| 264 #1 - |
|---|
| -- |
New York, NY : |
| -- |
Springer New York, |
| -- |
2012. |
| 912 ## - |
|---|
| -- |
ZDB-2-SMA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Gutlyanskii, Vladimir. |
| Relator term |
author. |
| 245 14 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
The Beltrami Equation |
| Medium |
[electronic resource] : |
| Remainder of title |
A Geometric Approach / |
| Statement of responsibility, etc |
by Vladimir Gutlyanskii, Vladimir Ryazanov, Uri Srebro, Eduard Yakubov. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XIII, 301p. 6 illus. |
| Other physical details |
online resource. |
| 440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Developments in Mathematics, |
| International Standard Serial Number |
1389-2177 ; |
| Volume number/sequential designation |
26 |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
1. Introduction -- 2. Preliminaries -- 3. The Classical Beltrami Equation ||μ||∞ < 1 -- 4. The Degenerate Case -- 5. BMO- and FMO-Quasiconformal Mappings -- 6. Ring Q-Homeomorphisms at Boundary Points -- 7. Strong Ring Solutions of Beltrami Equations -- 8. On the Dirichlet Problem for Beltrami Equations -- 9. On the Beltrami Equations with Two Characteristics -- 10. Alternating Beltrami Equation -- References -- Index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
The Beltrami Equation: A Geometric Approach will be particularly useful to many specialists in modern geometric analysis, quasiconformal mappings and extensions, beginning researchers, and graduate students with a year’s background in complex variables. This book covers the state-of-the art in the ongoing study of the Beltrami equation, the classical equation that has been studied for more than 100 years. Along with its rich history, the Beltrami equation plays a significant role in geometry, analysis, and physics. The most important feature of this work concerns the unified geometric approach taken based on the modulus method that can be effectively applied to solving many problems in mathematical physics. Beautiful examples illustrate the relationship between mappings with bounded oscillation and those with finite oscillations. Written by authors that are well-known specialists in this field, this monograph presents recent developments in the theory of Beltrami equations, studying a variety of problems like convergence, existence, uniqueness, representation, removal of singularities, local distortion estimates, and boundary behavior of solutions to the Beltrami equations. It contains new types of criteria in the given problems, particularly new integral conditions for the existence of regular solutions to the Beltrami equations that turned out to be not only sufficient but also necessary. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Functions of complex variables. |
|
|---|
| Topical term or geographic name as entry element |
Differential Equations. |
|
|---|
| Topical term or geographic name as entry element |
Differential equations, partial. |
|
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Partial Differential Equations. |
|
|---|
| Topical term or geographic name as entry element |
Functions of a Complex Variable. |
|
|---|
| Topical term or geographic name as entry element |
Ordinary Differential Equations. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Ryazanov, Vladimir. |
| Relator term |
author. |
|
|---|
| Personal name |
Srebro, Uri. |
| Relator term |
author. |
|
|---|
| Personal name |
Yakubov, Eduard. |
| Relator term |
author. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9781461431909 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-1-4614-3191-6 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
